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Simplifying -5(4y + -3) = 4(1 + -6y) + 13 Reorder the terms: -5(-3 + 4y) = 4(1 + -6y) + 13 (-3 * -5 + 4y * -5) = 4(1 + -6y) + 13 (15 + -20y) = 4(1 + -6y) + 13 15 + -20y = (1 * 4 + -6y * 4) + 13 15 + -20y = (4 + -24y) + 13 Reorder the terms: 15 + -20y = 4 + 13 + -24y Combine like terms: 4 + 13 = 17 15 + -20y = 17 + -24y Solving 15 + -20y = 17 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 15 + -20y + 24y = 17 + -24y + 24y Combine like terms: -20y + 24y = 4y 15 + 4y = 17 + -24y + 24y Combine like terms: -24y + 24y = 0 15 + 4y = 17 + 0 15 + 4y = 17 Add '-15' to each side of the equation. 15 + -15 + 4y = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 4y = 17 + -15 4y = 17 + -15 Combine like terms: 17 + -15 = 2 4y = 2 Divide each side by '4'. y = 0.5 Simplifying y = 0.5
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